Question

A carwash charges $8 per car and can wash at most 10 cars each hour. The amount the carwash earns in an hour depends on the number of cars washed. What is the domain of this relation? A. 0 ≤ x ≤ 10 B. {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80} C. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} D. 0 ≤ x < 80

Answer 1

Answer:

{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Step-by-step explanation:

Let x represents the number of car washed and y represents the amount of car wash,

Since, the amount the car wash earns in an hour depends on the number of cars washed,

That is,

y ∝ x

⇒ y = kx

Since, domain of the above function = all possible values of x

Also, there can at most 10 cars wash each hour,

Again,

x can not be negative or in decimal,

⇒ x ∈ { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Hence, Domain for the given relation = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

OPTION C is correct.

Answer 2

Answer:

The correct answer is B

Step-by-step explanation:

In this problem, Solution A isnt possible because if he washes 10 cars he earns $80 so that should be in the domain

Solution B is the correct one because it collects all the possible numbers of the equation, from 0 car washed=$0 to 10 car washed=$80(1 by 1)

The problem with solution c is the same as solution A

Finally, Solution D has an small problem, and that is that if he washes 10 cars the amount he gains is $80 so x cant be <$80, it should have been ≤$80